<u>Answer-</u>
<u>Solution-</u>
Triangle XYZ is a right angle triangle with ∠Y=90°
Triangle XYZ is also an isosceles triangle, as
∠X =45°= ∠Z
Therefore, triangle XYZ is a right angle isosceles triangle.
So,
XY = YZ = 9 cm
Applying Pythagoras theorem,
In a right angle triangle, always the hypotenuse is the largest. So XZ is the longest segment in triangle XYZ.
Answer:
130 centimeters
Completed question;
Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below.
Todd wants to paint a design on the wood along the diagonal shown. If each tile is 13 centimeters on each side, what is the length of the diagonal shown?
A. 182 centimeters
B. 169 centimeters
C. 130 centimeters
D. 91 centimeters
Step-by-step explanation:
To determine the length of diagonal, we have to first find the length of each side;
According to the attached image;
The length consist of 8 tiles
And breadth consist of 6 tiles
Length per tile = 13 centimeters
Length = 8 × 13 = 104 centimeters
Breadth = 6×13 = 78 centimeters
Using Pythagoras theorem;
diagonal length d = √(104^2 + 78^2)
d = 130 centimeters
